Differential calculus and equations

This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods for Partial Differential Equations given to undergraduate and graduate students of Politecnico di Milano (Italy), EPFL Lausanne (Switzerland), University of Bergamo (Italy) and Emory University (Atlanta, USA).

Wave phenomena are ubiquitous in nature.

This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems.

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals.

In the framework of the Diderot Mathematical Forum (DMF) of the European Mathematical Society (EMS), December 19-20, 1997, a Videoconference was held linking three teams of specialists in Amsterdam, Madrid and Venice respectively.

In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics.

Assembled here is a collection of articles presented at a NATO ADVANCED STU- DY INSTITUTE held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989.

The theory and applications of C*-algebras are related to fields ranging from operator theory, group representations and quantum mechanics, to non-commutative geometry and dynamical systems.

This volume documents the results and presentations relating to the use of wavelet theory and other methods in surface fitting and image reconstruction of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993.

For more than 250 years partial di?

Der vorliegende fünfte Band der Höheren Mathematik für Ingenieure behandelt die bei den Themenbereiche "Funktionalanalysis" und "Partielle Differentialgleichungen" und rundet damit diese Lehrbuchreihe ab.

This set of lecture notes was written for a Nachdiplom-Vorlesungen course given at the Forschungsinstitut fUr Mathematik (FIM), ETH Zurich, during the Fall Semester 2000.

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems.

This volume consists of papers presented in the special sessions on "e;Wave Phenomena and Related Topics"e;, and "e;Asymptotics and Homogenization"e; of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997.

This monograph presents extensions of the Moser-Bangert approach that include solutions of a family of nonlinear elliptic PDEs on Rn and an Allen-Cahn PDE model of phase transitions.

GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES AND APPLICATIONS Explore a unified view of differential equations through the use of the generalized ODE from leading academics in mathematics Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of Generalized ODEs in abstract spaces.

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations).

The conference has an interdisciplinary focus and aims to bring together scientists - mathematicians, electrical engineers, computer scientists, and physicists, from universities and industry - to have in-depth discussions of the latest scientific results in Computational Science and Engineering relevant to Electrical Engineering and to stimulate and inspire active participation of young researchers.

This book gives a systematic investigation of convection in systems comprised of liquid layers with deformatable interfaces.

This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties.

Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent.

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra.

During last decade significant progress has been made in the oil indus- try by using soft computing technology.

Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent.

This book presents new developments  in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools.

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems.

Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations.

This second edition of Generalized Functions has been strengthened in many ways.

A half-century ago, advanced calculus was a well-de?

This book presents a number of analytic inequalities and their applications in partial differential equations.

A leading authority sheds light on a variety of interesting topics in which probability theory plays a key role.

Inverse problems have been the focus of a growing number of research efforts over the last 40 years-and rightly so.

Periodic Differential Equations: An Introduction to Mathieu, Lame, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations.

This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums.

The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations.

The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains.

This book explains many fundamental ideas on the theory of distributions.

This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research.

A Concise Approach to Mathematical Analysis introduces the undergraduate student to the more abstract concepts of advanced calculus.

Mathematical modeling is a powerful craft that requires practice.

Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order.

This book introduces an original fractional calculus methodology ('the infinite state approach') which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs).

The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods.

This volume contains a selection of contributions by prominent mathematicians from the many interesting presentations delivered at the Conference of Mathematics and Mathematical Physics that was held in Fez, Morocco duing the period of 28-30 October, 2008.

This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundred years.

Author's Note: The material of this book has been reworked and expanded with a lot more detail and published in the author's 2014 book "e;Upper and Lower Bounds for Stochastic Processes"e; (Ergebnisse Vol.